Given that log 2 = 0.3010 and log 3 = 0.4771, find the value of log 108
Answers
Answered by
7
Answer:
2.0333
Step-by-step explanation:
log 108
Express 108 in terms of 2 & 3.
108 = 2 * 2 * 3 * 3 * 3 = 2² * 3³
log 108 = log 2² * 3³ = log 2² + log 3³ [Using Product Law]
= 2log 2 + 3log 3 [Using Power Law]
Now put the values of log 2 & log 3:
2log 2 + 3log 3
= 2*0.3010 + 3*0.4771
= 0.6020 + 1.4313
= 2.0333
Answered by
4
Answer:
2.0333
Step-by-step explanation:
log108=log(2×3×3×2×3)
=log(2²×3³)
=log2²+log3³
=2 log2+3log3
=2×0.3010+3×0.4771
=0.6020+ 1.4313
= 2.0333
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